论文信息 - Bifurcation in model reference adaptive control systems

Bifurcation in model reference adaptive control systems

Abstract We study the effect of unmodeled dynamics on the performance of a simple model reference adaptive control mechanism. Exact stability boundaries are computed and different routes to chaotic behavior and global instability are described. Typically, we observed a region of period doubling and Hopf bifurcations similar to those observed in the Ziegler-Nichols approach to PID control design. The analysis applies to higher order and certain nonlinear systems as well.

B. Erik Ydstie | Melinda P. Golden | B. Ydstie | M. Golden

[1] James Thomas Harris,et al. Theory and Application of Self-Tuning Regulators , 1977 .

[2] H. Schuster. Deterministic chaos: An introduction , 1984 .

[3] Iven M. Y. Mareels,et al. Non-linear dynamics in adaptive control: Chaotic and periodic stabilization , 1986, Autom..

[4] G. Kreisselmeier. A Robust Indirect Adaptive Control Approach , 1986 .

[5] Michael Athans,et al. Some design guidelines for discrete-time adaptive controllers , 1984, Autom..

[6] Graham C. Goodwin,et al. Adaptive filtering prediction and control , 1984 .

[7] P. Ramadge,et al. Discrete-time multivariable adaptive control , 1979 .

[8] Lennart Ljung,et al. Theory and applications of self-tuning regulators , 1977, Autom..

[9] Petar V. Kokotovic,et al. Instability analysis and improvement of robustness of adaptive control , 1984, Autom..

[10] J. Yorke,et al. A transition from hopf bifurcation to chaos: Computer experiments with maps on R2 , 1978 .

[11] Brian D. O. Anderson,et al. Adaptive systems, lack of persistency of excitation and bursting phenomena , 1985, Autom..

[12] Björn Wittenmark,et al. On Self Tuning Regulators , 1973 .

[13] B. Erik Ydstie,et al. Chaos and Strange Attractors in Adaptive Control Systems , 1987 .